Recently Active Mathematics Questions

If t1, t2, t3,...tn are the roots of the equation - xn +px + q =0 , then (t1- t2)(t1- t3)(t1- t4) ... (t1- tn) = ? (a) n.p (b) n.t1n +p (c) n.t1n-1 +p (d) n.t1 +p ...

Paper 2 Let x1,x2,....,xn be a sequence of integers such that -1 ≤ xi ≤ 2 for all i belongs to {1,2,...n} ; x1 +x2 + x3 + ....+ xn = 19 x12+x22 +...+xn2 = 99 Let m,M be the least and greatest values of x13 + x23 +...+xn3 ...

If three normals are drawn from pt. (p,0) to parabola y2=x then p > 2a where a=1/4. True or false. and reason ?? ...

There are 2 irreducible polynomials f and g with rational coeff.Now let there be 2 complex numbers a and b s.t. f (a) = g (b) = 0. Prove that if a+b is rational number, then f and g must have same deg. ...

Can anyone please tell me what is a common normal between 2 curves and most important : How does a common normal between two parabolas look like ???? ...

Can anyone please tell me what is a common normal between 2 curves and most important : How does a common normal between two parabolas look like ???? ...

Define na! for positve integers n and a na!=n(n-a)(n-2a)(n-3a)......(n-ka) where k is the greatest integer for which n>ka then find the quotient of 728!/182! ...

1) f is a continuous in [a,b] and differentiable in (a,b) wher a>0 such that f(a)/a = f(b)/b prove that der exists x0 e (a,b) such that f'(x0)= f(x0)/x0 2)find the value of a for which f(x)={3x+mod(a2-4) ,a≤x≤1 {5-x2 , ...

Normal at 3 points P,Q,R of parabola y^2=4x meet at A and SP\cdot SQ\cdot SR=\alpha SA^2 . If S is the focus of the parabola find the value of \alpha . ...

was solving a ques..and found this in b/w....and cant solve this step... for x=-1/2 find value of a^2 if a =cos tan-1 sin cot -1 x ...

*Image* Join NP and say with reason what is the figure MNPO ??? ...

find the digit in tenth place of the sum1!+2!+3!+...........+49! ...

Hey guys , hope you are not too bored with maths . I found some good questions which I think don’t require pen and paper , yet are interesting . So please try --- 1 > If xy = 281 . 378 . 534 ( x + y ) , then find the num ...

Hey guys , hope you are not too bored with maths . I found some good questions which I think don’t require pen and paper , yet are interesting . So please try --- 1 > If xy = 281 . 378 . 534 ( x + y ) , then find the num ...

\int_{0}^{n\pi}{\left| \frac {sinx}{x}\right|}dx\geq \frac{2}{\pi}(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{n}) ...

if f:[1,10]→[1,10] is a non decreasing function and g:[1,10]→[1,10] is a non increasing function. let h(x)=f(g(x)) with h(1)=1 the h(2) options 1) lies in (1,2) 2)is more than 2 3)is = to 1 4)is not defined ...

if f(x)= x2/2-2cosx g(x)= x2/6x-6sinx where 0<x<1 find whether f(x) and g(x) r increasing or decreasing function ...

I=\int_{0}^{1}{\frac{dx}{\sqrt{4-x^2-x^3}}};I_1=\int_{0}^{1/2}{\frac{dx}{\sqrt{1-x^4}}} Then find: 1)I 2)I1 3)Imax 4)Imin 5)I1 max 6)I1 min ...

if \alpha _{1},\alpha _{2} are the roots of equation: ax2+bx+c=0 and \beta _{1},\beta _{2} be roots of equation : px2+qx+r=0.if \alpha _{1}y+\alpha_{2}z=0 \beta_{1}y+\beta_{2}z=0 have a non trivial(nonzero solutions) then pro ...

Solve logx2log2x2.log24x>1 ...

x 2 Sin[x] ∫ -----------------------dx (1 + Cos[x])2 ...

if x=1 is a real root of ax2+bx+c=0 then show that 4ax2 +3bx +2c =0 has real roots ...

find t: t=n+1Cn +n+2Cn +..............+2nCn ...

I know this is an easy one, but don't know why I am not getting the right answer. The extremeties of a diagnol of rectangle are (-4,4) and (6,-1). A circle circumscribes the rectangle and cuts an intercept AB on the y-axis. T ...

Ques) Suppose f(x,y) = 0 is the equation of the circle such that f(x,1) = 0 has equal roots (Each equals to 2) and f(1,x) = 0 also has equal roots (Each equals to 0 ). Then find the equation of the circle. ...

If x=\left(16^{3}+17^{3}+18^{3}+19^{3} \right) , then x divided by 70 leaves a remainder of what? ...

( 3 +tan1).( 3 +tan2).....( 3 +tan29)=? (angles are in degrees) Not for all the genius sirs here[1] ...

(p + q)(p + r) ≥ p+ qr ...

If cosx+cosy+cosz=0 & cos3x+cos3y+cos3z=0 the prove that cos2x.cos2y.cos2z≤0 x,y,zε R All the sirs plz dont post the soln to this one[1] ...

prove that 2/ \pi < sin x/x <1 for x e (0, \pi /2 ) ...